Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR60 papers
- Kootenay Association for Science & TechnologyCA40 papers
- Chinese Academy of SciencesCN33 papers
- Texas A&M UniversityUS32 papers
- RWTH Aachen UniversityDE30 papers
- King Fahd University of Petroleum and MineralsSA29 papers
- TU WienAT25 papers
- National University of SingaporeSG24 papers
- The University of Texas at AustinUS24 papers
- University of OxfordGB23 papers
- Georgia Institute of TechnologyUS22 papers
- Aix-Marseille UniversitéFR20 papers
10 papers · 2 filters
Bayesian Parameter Estimation via Filtering and Functional Approximations
Hermann G. Matthies, Alexander Litvinenko, Bojana V. Rosic +1
The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use…
Thermodynamically consistent modeling and simulation of multi-component two-phase flow model with partial miscibility
Jisheng Kou, Shuyu Sun
A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based o…
Multilevel and Multi-index Monte Carlo methods for the McKean-Vlasov equation
Abdul-Lateef Haji-Ali, Raul Tempone
We address the approximation of functionals depending on a system of particles, described by stochastic differential equations (SDEs), in the mean-field limit when the number of pa…
Positivity for convective semi-discretizations
Imre Fekete, David I. Ketcheson, Lajos Lóczi
We propose a technique for investigating stability properties like positivity and forward invariance of an interval for method-of-lines discretizations, and apply the technique to…
Multilevel ensemble Kalman filtering for spatially extended models
Alexey Chernov, Haakon Hoel, Kody Law +2
This work embeds a multilevel Monte Carlo (MLMC) sampling strategy into the Monte Carlo step of the ensemble Kalman filter (EnKF), thereby yielding a multilevel ensemble Kalman fil…
Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
Winfried Auzinger, Harald Hofstätter, David Ketcheson +1
We present a number of new contributions to the topic of constructing efficient higher-order splitting methods for the numerical integration of evolution equations. Particular sche…
A Direct Elliptic Solver Based on Hierarchically Low-rank Schur Complements
Gustavo Chávez, George Turkiyyah, David Keyes
A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic…
PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia +3
We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, PetIGA-MF i…
Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation
Rio Yokota, Huda Ibeid, David Keyes
There has been a large increase in the amount of work on hierarchical low-rank approximation methods, where the interest is shared by multiple communities that previously did not i…
Strong-stability-preserving additive linear multistep methods
Yiannis Hadjimichael, David I. Ketcheson
The analysis of strong-stability-preserving (SSP) linear multistep methods is extended to semi-discretized problems for which different terms on the right-hand side satisfy differe…